{
  "id": 3467,
  "curve_key": "3136624017856:-3985797110740341760",
  "ainvs": [
    "0",
    "1",
    "0",
    "-65346333705",
    "4613169318282679"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 86.32250455172243,
  "faltings_height": 5.219077641097125,
  "conductor": "79424842446432182848",
  "bad_primes": [
    "2",
    "17",
    "127",
    "271",
    "353",
    "577",
    "593",
    "1033"
  ],
  "discriminant": "8664823619816133447003307424387072",
  "regulator": "535232.08054279260403774813860864809914702625613212215247",
  "points": [
    [
      "2418159",
      "3739888888"
    ],
    [
      "234441",
      "46678124"
    ],
    [
      "59375",
      "-30701048"
    ],
    [
      "289385",
      "99685348"
    ],
    [
      "4397",
      "65771776"
    ],
    [
      "225227",
      "36340016"
    ],
    [
      "-253901",
      "-69547272"
    ],
    [
      "60531",
      "-29656024"
    ],
    [
      "1870405/9",
      "79572104/27"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:42:57",
  "updated_at": "2026-09-27 05:42:57"
}